829829568 has 112 divisors (see below), whose sum is σ = 2349605664. Its totient is φ = 257556480.

The previous prime is 829829563. The next prime is 829829593. The reversal of 829829568 is 865928928.

It is a super-2 number, since 2×829829568² = 1377234223854133248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829829563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315298 + ... + 317918.

It is an arithmetic number, because the mean of its divisors is an integer number (20978622).

Almost surely, 2^829829568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174802832).

829829568 is an abundant number, since it is smaller than the sum of its proper divisors (1519776096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829829568 is a wasteful number, since it uses less digits than its factorization.

829829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2740 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 829829568 is about 28806.7625393761. The cubic root of 829829568 is about 939.7153083839.

The spelling of 829829568 in words is "eight hundred twenty-nine million, eight hundred twenty-nine thousand, five hundred sixty-eight".